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() Susan set up a lemonade stand to raise money for a children's hospital. She's selling
cups of lemonade for $2.50 each and brownies for $1.50 each. She sells 280 items and raises
$540.
() This system of equations can be used to represent the situation:
x + y = 280
2.5x + 1.5y = 540
Which statement is correct?

Respuesta :

Solving the system of equations, it is found that 120 cups of lemonade and 160 brownies were sold.

What is a system of equations?

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

The variables are given as follows:

  • Variable x: Number of cups of lemonade sold.
  • Variable y: Number of brownies sold.

In this problem, the system is:

  • x + y = 280.
  • 2.5x + 1.5y = 540.

From the first equation, y = 280 - x, hence, replacing in the second:

2.5x + 1.5y = 540

2.5x + 1.5(280 - x) = 540

x = 540 - 1.5 x 280

x = 120

y = 280 - x = 280 - 120 = 160.

120 cups of lemonade and 160 brownies were sold.

More can be learned about a system of equations at https://brainly.com/question/24342899

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